CHEMISTRY-TEXT
8th Edition
ISBN: 9780134856230
Author: Robinson
Publisher: PEARSON
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Chapter 20, Problem 20.51SP
The decay constant of plutonium
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The isotope 9038Sr3890Sr is one of the extremely hazardous species in the residues from nuclear power generation. The strontium in a 0.500-g sample diminishes to 0.393 g in 10.0 y. Calculate the half-life.
The radioactive isotope carbon-14 is present in small quantities in all life forms, and it is constantly replenished until the organism dies, after which it decays to stable carbon-12 at a rate proportional to the amount of carbon-14 present, with a half-life of 5550 years. Suppose C(t) is the amount of carbon-14 present at time t.
(a) Find the value of the constant k in the differential equation C′=−kC. k=
?
(b) In 1988 three teams of scientists found that the Shroud of Turin, which was reputed to be the burial cloth of Jesus, contained about 91 percent of the amount of carbon-14 contained in freshly made cloth of the same material[1]. How was old the Shroud of Turin in 1988, according to these data? Age =
?
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[1]: The New York Times, October 18, 1988.
The isotope 90/38 Sr is one of the extremely hazardous species in the residues from nuclear power generation. The strontium in a 0.500-g sample diminishes to 0.393 g in 10.0 y. Calculate the half-life.
Chapter 20 Solutions
CHEMISTRY-TEXT
Ch. 20 - Prob. 20.1PCh. 20 - Prob. 20.2ACh. 20 - Prob. 20.3PCh. 20 - Prob. 20.4ACh. 20 - Prob. 20.5PCh. 20 - Prob. 20.6PCh. 20 - What is the half-life of iron 59 , a radioisotope...Ch. 20 - Prob. 20.8ACh. 20 - Prob. 20.9PCh. 20 - Prob. 20.10A
Ch. 20 - Prob. 20.11PCh. 20 - Prob. 20.12ACh. 20 - Prob. 20.13PCh. 20 - Prob. 20.14ACh. 20 - Prob. 20.15PCh. 20 - Prob. 20.16ACh. 20 - Prob. 20.17PCh. 20 - Prob. 20.18ACh. 20 - Prob. 20.19PCh. 20 - Prob. 20.20PCh. 20 - Prob. 20.21PCh. 20 - Prob. 20.22PCh. 20 - Prob. 20.23PCh. 20 - Prob. 20.24PCh. 20 - Prob. 20.25CPCh. 20 - Prob. 20.26SPCh. 20 - Prob. 20.27SPCh. 20 - Prob. 20.28SPCh. 20 - Prob. 20.29SPCh. 20 - Prob. 20.30SPCh. 20 - Prob. 20.31SPCh. 20 - Prob. 20.32SPCh. 20 - Prob. 20.33SPCh. 20 - Prob. 20.34SPCh. 20 - Prob. 20.35SPCh. 20 - Prob. 20.36SPCh. 20 - Prob. 20.37SPCh. 20 - Prob. 20.38SPCh. 20 - Prob. 20.39SPCh. 20 - Prob. 20.40SPCh. 20 - Prob. 20.41SPCh. 20 - Prob. 20.42SPCh. 20 - Prob. 20.43SPCh. 20 - Prob. 20.44SPCh. 20 - Prob. 20.45SPCh. 20 - Prob. 20.46SPCh. 20 - Prob. 20.47SPCh. 20 - Prob. 20.48SPCh. 20 - Prob. 20.49SPCh. 20 - The half-life of indium 111, a radioisotope used...Ch. 20 - The decay constant of plutonium 239 , a waste...Ch. 20 - Prob. 20.52SPCh. 20 - Plutonium 239 has a decay constant of 2.88105 year...Ch. 20 - Prob. 20.54SPCh. 20 - Prob. 20.55SPCh. 20 - A 1.0 mgsampleof79Sedecays initially atarate of...Ch. 20 - Prob. 20.57SPCh. 20 - A sample of 37Ar undergoes 8540...Ch. 20 - Prob. 20.59SPCh. 20 - Prob. 20.60SPCh. 20 - Prob. 20.61SPCh. 20 - Prob. 20.62SPCh. 20 - Prob. 20.63SPCh. 20 - Prob. 20.64SPCh. 20 - Prob. 20.65SPCh. 20 - Prob. 20.66SPCh. 20 - Prob. 20.67SPCh. 20 - Prob. 20.68SPCh. 20 - Prob. 20.69SPCh. 20 - Prob. 20.70SPCh. 20 - Prob. 20.71SPCh. 20 - Prob. 20.72SPCh. 20 - Prob. 20.73SPCh. 20 - Prob. 20.74SPCh. 20 - Prob. 20.75SPCh. 20 - Prob. 20.76SPCh. 20 - Prob. 20.77SPCh. 20 - Prob. 20.78SPCh. 20 - Prob. 20.79SPCh. 20 - Prob. 20.80SPCh. 20 - Prob. 20.81SPCh. 20 - Prob. 20.82SPCh. 20 - Prob. 20.83SPCh. 20 - Prob. 20.84SPCh. 20 - Prob. 20.85SPCh. 20 - Prob. 20.86SPCh. 20 - Prob. 20.87SPCh. 20 - Prob. 20.88SPCh. 20 - Prob. 20.89SPCh. 20 - Prob. 20.90SPCh. 20 - Prob. 20.91SPCh. 20 - Prob. 20.92SPCh. 20 - Prob. 20.93SPCh. 20 - Prob. 20.94SPCh. 20 - Prob. 20.95SPCh. 20 - Prob. 20.96SPCh. 20 - Prob. 20.97SPCh. 20 - Prob. 20.98SPCh. 20 - Prob. 20.99SPCh. 20 - Prob. 20.100SPCh. 20 - Prob. 20.101SPCh. 20 - Prob. 20.102SPCh. 20 - Prob. 20.103SPCh. 20 - Prob. 20.104SPCh. 20 - Prob. 20.105SPCh. 20 - Prob. 20.106SPCh. 20 - Prob. 20.107SPCh. 20 - Prob. 20.108SPCh. 20 - Prob. 20.109SPCh. 20 - Prob. 20.110SPCh. 20 - Prob. 20.111SPCh. 20 - Prob. 20.112SPCh. 20 - Prob. 20.113SPCh. 20 - Prob. 20.114MPCh. 20 - Prob. 20.115MPCh. 20 - Prob. 20.116MPCh. 20 - Prob. 20.117MPCh. 20 - Prob. 20.118MPCh. 20 - Prob. 20.119MPCh. 20 - Prob. 20.120MP
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- The radioactive isotope 64Cu is used in the form of copper(II) acetate to study Wilsons disease. The isotope has a half-life of 12.70 hours. What fraction of radioactive copper(II) acetate remains after 64 hours?arrow_forwardThe isotope S3890r one of the extremely hazardous species in the residues from nuclear power generation. The strontium in a 0.500-g sample diminishes to 0.393 g in 10.0 y. Calculate the half-life.arrow_forwardFluorine-18 is a radioactive isotope that decays by positron emission to form oxygen-18 with a half-life of 109.7 min. (A positron is a particle with the mass of an electron and a single unit of positive charge; the equation is F918O188+e+10 Physicians use 18F to study the brain by injecting a quantity of ?uoro-substituted glucose into the blood of a patient. The glucose accumulates in the regions where the brain is active and needs nourishment. (a) What is the rate constant for [lie decomposition of ?uorine-18? (b) If a sample of glucose containing radioactive fluorine-18 is injected into the blood, what percent of the radioactivity will remain after 5.59 h? (c) How long does it take for 99.99% of the 18F to decay?arrow_forward
- Technetium-99 is often used for assessing heart, liver, and lung damage because certain technetium compounds are absorbed by damaged tissues. It has a half-life of 6.0 h. Calculate the rate constant for the decay of T4399c.arrow_forwardRecently, the skeleton of King Richard III was found under a parking lot in England. If tissue samples from the skeleton) contain about 93.79% of the carbon-14 expected in living tissue, what year did King Richard III die? The half-life fur carbon-14 is 5730 years.arrow_forwardThe rate constant for the radioactive decay of 14C is 1.21104 year-1. The products of the decay are nitrogen atoms and electrons (beta particles): C614N714+e rate =k[C614] What is the instantaneous rate of production of N atoms in a sample with a carbon-14 content of 6.5109M?arrow_forward
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- 6c8: In addition to solving the problem please give brief explanation for concepts and solution if able.arrow_forwardThe half life for the radioactive decay of carbon-14 to nitrogen-14 is 5.73x 10^3 years. Suppose nuclear chemical analysis shows that there is 0.888 mmol of nitrogen-14 for every 1.000 mmol of carbon-14 in a certain sample of rock. Calculate the age of the rock. Round your answer to 2 significant digits.arrow_forwardUse the exponential decay model, A = A0ekt, to solve:The half-life of polonium-210 is 140 days. How long will it take for a sample of this substance to decay to 20% of its original amount?arrow_forward
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